Existence of solutions of npoint boundary value problems on the halfline in Banach spaces
ABSTRACT In this paper, the Mönch fixed point theorem is used to investigate the existence of solutions of a npoint boundary value problem on the halfline in a Banach space. As an application, we give an example in an infinite dimensional
space to demonstrate our results.
KeywordsBoundary value problemHalflineBanach spacesExistence of solution

Article: Existence Results for Singular Boundary Value Problems on Unbounded Domains in Banach Spaces
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ABSTRACT: In this paper, the Krasnosels’kii ﬁxed point theorem in cones for strict setcontraction is used to investigate the existence of single and twin positive solutions for a class of a twopoint boundary value problem of secondorder nonlinear diﬀerential equations posed on an inﬁnite interval. The nonlinearity, which may have timesingularity, takes values in a general Banach space and have at most polynomial growth with respect to the unknown.Mediterranean Journal of Mathematics 02/2014; 11(1):4574. DOI:10.1007/s0000901303621 · 0.65 Impact Factor